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Finding the Third Proportional to 155,374 and 338,427

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Solution

The third proportional to 155,374 and 338,427 is: 737,142.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,374 : 338,427 = 338,427 : x
  2. Step 2: Convert to fraction form
    155,374/338,427 = 338,427/x
  3. Step 3: Cross multiply
    155,374x = 338,427 × 338,427
  4. Step 4: Simplify right side
    155,374x = 114,532,834,329
  5. Step 5: Solve for x
    x = 114,532,834,329/155,374
  6. Step 6: Final answer
    x = 737,142.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.